I would take advantage of the campus shipping programs to move your goods to Jita for sale, or at the very least, do the bulk of the moving for you.
The LSC campus services a large variety of locations and the NSC provides service for Solitude and the NSC. If you are a member of the AMC, I think they have a shipping service as well, but I'm not positive on that (maybe it's just a buyback? not sure).
LSC Shipping Service:viewtopic.php?f=214&t=73628
NSC Shipping Service:viewtopic.php?f=212&t=97512&p=823644#p823644
If you don't need the goods shipped ASAP, the above services are an extremely nice way to get your stuff to Jita for sale. Then you just keep a market alt at Jita so after your goods are delivered by a campus shipping service, you just contract the stuff to your alt, relog to your alt, and sell them. Your main won't need to go to the trade hub at all. Vice versa works as well. Buy stuff with your Jita alt and then contract to your Uni main and have the campus shipping programs move them down.
That should save you a lot of time. It will take longer to get your stuff moved than if you did it yourself, but as long as you don't need to sell your PI stuff ASAP, it should free up some of your daily play time. Enough to run a couple missions or do some low sec pvp roaming or whatever floats your boat!
Personally, most of my workday play time goes to prepping. Moving assets around, getting ships staged, refreshing manufacturing or research jobs, burning bookmarks, and so on. Then on my weekends when I can play for good stretches of time, all I have to do is login and have fun. Joining fleet roams is as simple as logging in and grabbing a ship I've previously staged. I've found that really helps me feel like my much smaller gaming sessions during the week are productive and I like how on my weekend I can just login and go without needing to do a bunch of pesky prep work before getting to the meat of my fun.